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# Write an equation of the line passing through the point

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Write an equation of the line passing through the point(2,10)

that is perpendicular to the line 2x+y=17​

Nov 20, 2020

#1
+11086
+1

Write an equation of the line passing through the point(2,10)
that is perpendicular to the line 2x+y=17​

Hello Guest!

$$\color{BrickRed}f_1(x)=y=-2x+17\\ m_1=-2$$

$$m_2=-\frac{1}{m_1}\\ \color{blue}m_2=\frac{1}{2}$$

$${\color{blue}f_2(x)=y=m_2(x-x_1)+y_1}=\frac{1}{2}(x-2)+10$$

$$y=\frac{1}{2}x+9$$

!

Nov 20, 2020